Question

:-3(x-1) +5(x+4)=-5 linear equations​

Answer 1

☯︎ Given that,

• An equation 3 (x - 1) + 5 (x + 4) = - 5

________________________

We've to find the value of x.

$\sf\underline\purple{Now, \: solve \: the \: equation}$

$\sf\implies \: 3(x - 1) + 5(x + 4) = - 5 \\ \\ \sf\implies \: 3x - 3 + 5x + 20 = - 5 \\ \\ \sf\implies \: 3x + 5x - 3 + 20 = - 5 \\ \\ \sf\implies \: 8x + 17 = - 5 \\ \\ \sf\implies \: 8x = - 5 - 17 \\ \\ \sf\implies \: 8x = - 22 \\ \\ \sf\implies \: x =\cancel \frac{ - 22}{8} \\ \\ \sf\implies \: x = \boxed{\boxed{\sf\purple{ \frac{ - 11}{4} }}}\bigstar$

$\sf\therefore\underline{Hence, \: the \: value \: of \: x \: is \: \bold{ \frac{ -11}{4} }}$

Answer 2

Answer:

$3(x - 1) + 5(x + 4) = - 5 \\ \\ = 3x - 3 + 5x + 20 = - 5 \\ \\ = 3x + 5x - 3 + 20 = - 5 \\ \\ = 8x + 17 = - 5 \\ \\ = 8x = - 5 - 17 \\ \\ 8x = - 22 \\ \\ x = \frac{ - 22}{8} \\ \\ x = \frac{ - 11}{4}$